A377334 Number of n-celled polycubes with full symmetry and the rotation point of the symmetries in the center of a cell (that may or may not be part of the polycube).

1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 3, 1, 1, 0, 0, 4, 5, 4, 1, 0, 0, 5, 7, 4, 3, 0, 0, 8, 10, 6, 3, 0, 0, 12, 14, 8, 5, 0, 0, 22, 21, 21, 7, 0, 0, 32, 32, 20, 12, 2, 0, 50, 48, 36, 16, 1, 1

Offset: 1

Author

Pontus von Brömssen, Oct 25 2024

Keywords

• nonn

Links

• Index entries for sequences related to polyominoes.

Crossrefs

Cf. A351127, A376971, A377335.

Formula

a(n) = A376971(n) if n is not divisible by 8, otherwise a(n) = A376971(n)-A377335(n/8).

Conjecture: For n >= 62, a(n) > a(n-1) if and only if n is a multiple of 6.